Divisibility sequences and powers of algebraic integers.
Division algebras that ramify only along a singular plane cubic curve.
Division fields of abelian varieties with complex multiplication
Division-ample sets and the Diophantine problem for rings of integers
We prove that Hilbert’s Tenth Problem for a ring of integers in a number field has a negative answer if satisfies two arithmetical conditions (existence of a so-called division-ample set of integers and of an elliptic curve of rank one over ). We relate division-ample sets to arithmetic of abelian varieties.
Divisionsalgebren über Funktionenkörpern
Divisor classes on Shimura curves rational over local fields.
Divisor problems in special sets of positive integers.
Divisors in a Dedekind domain
Double transitivity of Galois groups of trinomials
Drichlet Convolution of Contangent Numbers and Relative Class Number Formulas.
Drinfeld modules of rank 1 and algebraic curves with many rational points. II
Dualitätssatz für endliche kommutative Gruppenschemata über Kongruenzfunktionenkörpern.
Duality theorems for -extensions of algebraic number fields
Dvě poznámky k teorii číselné
Dynamical directions in numeration
This survey aims at giving a consistent presentation of numeration from a dynamical viewpoint: we focus on numeration systems, their associated compactification, and dynamical systems that can be naturally defined on them. The exposition is unified by the fibred numeration system concept. Many examples are discussed. Various numerations on rational integers, real or complex numbers are presented with special attention paid to -numeration and its generalisations, abstract numeration systems and...
Dynatomic cycles for morphisms of projective varieties.
Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains.
Effective oscillation theorems for a general class of real-valued remainder terms
Effektive Konstruktion der algebraischen Erweiterungen von GF (p) sowie der vollständigen Kreisteilungskörper.
Eigenspaces of the ideal class group
The aim of this paper is to prove an analog of Gras’ conjecture for an abelian field and an odd prime dividing the degree assuming that the -part of group is cyclic.